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Finding the Third Proportional to 54,821 and 118,102

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Solution

The third proportional to 54,821 and 118,102 is: 254,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,821 : 118,102 = 118,102 : x
  2. Step 2: Convert to fraction form
    54,821/118,102 = 118,102/x
  3. Step 3: Cross multiply
    54,821x = 118,102 × 118,102
  4. Step 4: Simplify right side
    54,821x = 13,948,082,404
  5. Step 5: Solve for x
    x = 13,948,082,404/54,821
  6. Step 6: Final answer
    x = 254,429.55

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.